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You searched for: subject:"Category Theory"
[texts]Abstract and Concrete Categories: The Joy of Cats - Jiri Adamek, Horst Herrlich, George E. Strecker
Contents: Introduction; Categories, Functors, and Natural Transformations; Objects and Morphisms; Sources and Sinks; Factorization Structures; Adjoints and Monads; Topological and Algebraic Categories; Cartesian Closedness and Partial Morphisms. Lecture Notes Collection FreeScience.info ID1194 Obtained from http://katmat.math.uni-bremen.de/acc/acc.pdf http://www.freescience.info/go.php?pagename=books&id=1194
Keywords: Category Theory
Downloads: 15
[texts]Categories and Homological Algebra - Pierre Schapira
Contents: The language of categories; Limits; Additive categories; Abelian categories; Localization; Triangulated categories; Derived categories. Lecture Notes Collection FreeScience.info ID2877 Obtained from http://www.math.jussieu.fr/~schapira/lectnotes/HomAl.pdf http://www.freescience.info/go.php?pagename=books&id=2877
Keywords: Category Theory
Downloads: 19
[texts]Make Category Theory Intuitive! - Jocelyn Paine
An essay on why we should encourage students and researchers to discover the branch of mathematics known as category theory, and how to do so.
Keywords: category theory; machine learning; artificial intelligence; computer education
Downloads: 273
[audio]Versus Laboratory Seminar 24: Sheaf Logic & Philosophical Synthesis, with Fernando Zalamea - Fernando Zalamea
The point of this seminar is not only to acquaint us with the vibrant landscape of contemporary mathematics – and the field of sheaf logic and category theory, in particular – but to show us how this landscape’s powerful new concepts can be deployed in the fields of philosophy and cultural production. Its aim is nothing less than to ignite a new way of thinking about universality and synthesis in the absence of any absolute foundation or stable, pre-given totality – a problem that mathem...
Keywords: sheaf logic; category theory; Zalamea; versus; synthesis; mathematics; philosophy
Downloads: 439
[audio]Versus Laboratory Seminar 24: Fernando Zalamea, "Sheaf Logic & Philosophical Synthesis" - Fernando Zalamea
NOTE: THE AUDIO QUALITY HAS BEEN SOMEWHAT IMPROVED IN THIS VERSION OF THE RECORDING. The point of this seminar is not only to acquaint us with the vibrant landscape of contemporary mathematics â and the field of sheaf logic and category theory, in particular â but to show us how this landscapeâs powerful new concepts can be deployed in the fields of philosophy and cultural production. Its aim is nothing less than to ignite a new way of thinking about universality and synthesis in the absence ...
Keywords: Zalamea; Sheaves; Logic; Philosophy; Category Theory; JVE; Versus
Downloads: 303
[texts]Make Category Theory Intuitive! - Jocelyn Paine
An essay on why we should encourage students and researchers to discover the branch of mathematics known as category theory, and how to do so.
Keywords: category theory; machine learning; artificial intelligence; computer education
Downloads: 222
[texts]Why Machine Learning and AI need Category Theory, and - Jocelyn Paine
Some notes and suggestions on why category theory is useful in AI and machine learning, and on teaching it.
Keywords: category theory; machine learning; artificial intelligence; computer education
Downloads: 589
[texts]On Adjoint Dynamical Systems - I. C. Baianu
Transformations of dynamical systems and organismic structures are discussed in terms of adjoint, simple adjoint and weak adjoint functors of organismic supercategories during development and evolution of organisms on markedly different timescales. A representation of nuclear transplants in terms of adjoint functors and a novel interpretation of nuclear transplant experiments is proposed. Three new theorems are proven for adjoint dynamical systems representing multi-potent developing cells and a...
Keywords: biological system development; category theory; adjoint and weak adjoint functors; adjoint biological systems; analogus systems; categorical dynamics; limits and colimits
Downloads: 59
[texts]New Collection of Articles at PlanetPhysics.org : C to F entries - bci1
An alphabetically ordered collection of articles generated with Noosphere version 1.0 at PlanetPhysics.org : C to F entries. See also: http://planetphysics.us/ and the wiki version of planetphysics.org from: http://planetphysics.org/wikipl http://pp-wiki.metameso.org/wiki.pl (Coming soon also http://pp-dev.org/encyclopedia and a book of PlanetPhysics Encyclopedia)
Keywords: quantum concepts and theories, complexity, chemical imaging techniques, chemical thermodynamics, category theory applications in physics, `fuzzy' systems in biology, fundamental concepts and Laws of Physics
Downloads: 51
[texts]On Quantum Nano-Automata and the Logics of Life - I. C. Baianu and James F. Glazebrook
Abstract A novel approach to gene and neural networks, as well interactomics, in terms of quantum nano-automata formally represented in a categorical and Lukasiewicz-Topos framework of Lukasiewicz-Moisil (LM) Algebraic, many-valued (MV) Logics. General models of nonlinear dynamics in complex functional systems such as neural networks, genomes and cell interactomes are proposed based on categories of interacting quantum automata...
Keywords: quantum automata and quantum computation,quantum nano-automata, LM--algebraic logic, LM--logic algebras, algebraic category of LM-logic algebras, fundamental theorems of LM-logic algebra, non-linear genetic networks, nonlinear dynamics; Epigenomics; Cellular Interactomics; Immunology and hormonal regulatory systems; category theory; functors and natural transformations; toposes and Heyting logic algebras; quantum automata categories; limits and colimits; quantum automata homomorphisms; Abelian category; bicomplete categories; Quantum Relational Biology; generalised metabolic-replication (M; -R)--systems; complex bionetworks; quantum logic; non-commutative lattices. Hilbert space; quantum computers; computability of complex biological systems; Cartesian closed categories; extended quantum topos; category of groupoids; dynamic realisations of generalised (M-R)--systems (GMRs); category of GMRs; compact subsystems of a GMR
Downloads: 63
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